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Finding the Fourth Proportional to 3,958.99, 5,462.22 and 2,280.35

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Solution

The fourth proportional to 3,958.99, 5,462.22 and 2,280.35 is: 3,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.99 : 5,462.22 = 2,280.35 : x
  2. Step 2: Convert to fraction form
    3,958.99/5,462.22 = 2,280.35/x
  3. Step 3: Cross multiply
    3,958.99x = 5,462.22 × 2,280.35
  4. Step 4: Simplify right side
    3,958.99x = 12,455,773.38
  5. Step 5: Solve for x
    x = 12,455,773.38/3,958.99
  6. Step 6: Final answer
    x = 3,146.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.